Graphing Proportional Relationships

Vocabulary Review

constant- the unit rate in a proportional relationship

proportional relationships- two amounts that increase or decrease at the same rate

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Multiple Choice

The unit rate in a proportional relationship is the

• ratio

• constant

• proportion

• fraction

Multiple Choice

The quantity of two or more amounts that increases or decreases at the same rate

• constant

• propotional relationship

• ratio

• unit rate

Properties of Proportional Graphs

• All graphs of proportional relationships are represented with a straight line to show a constant rate also known as LINEAR.

• All proportional relationships pass through the origin.

• Can be used to calculate the unit rate or constant of proportionality.

New Vocabulary

coordinate plane(graph) - a two-dimensional surface formed by two number lines (x-axis and y- axis)

origin- The point (0,0) where the x-axis and y-axis intersect

ordered pair- a pair of numbers (x,y) that identifies the location of a point on the cooridinate plane.

x-coordinate- the first number in the ordered pair. It tells the distance away from the y-axis

y-coordinate- the second number in the ordered pair. It tells the distance away from the x-axis

Subject | Subject

Some text here about the topic of discussion

coordinate plane (graph) and origin

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Multiple Choice

This is a ___________

• x-axis

• x-coordinate

• coordinate plane

• y-coordinate

Multiple Choice

The location of the red circle is the ________

• origin

• x-axis

• y-axis

• center

Multiple Select

If the relationship is between two quantities is proportional on a graph,

the line will be ___________ and _____________

(choose 2 correct answers)

• negative

• through the origin

• straight

• horizontal

Multiple Choice

Does this graph show a proportional relationship

• Yes

• No

Multiple Choice

State whether the graph is proportional or non-proportional.

• Proportional

• Non-proportional

Multiple Choice

State whether the graph is proportional or non-proportional.

• Proportional

• Non-proportional

Multiple Choice

State whether the graph is proportional or non-proportional.

• Proportional

• Non-proportional

Multiple Choice

State whether the graph is proportional or non-proportional.

• Proportional

• Non-proportional

Multiple Choice

State whether the graph is proportional or non-proportional.

• Proportional

• Non-proportional

Multiple Choice

State whether the graph is proportional or non-proportional.

• Proportional

• Non-proportional

Multiple Choice

State whether the graph is proportional or non-proportional.

• Proportional

• Non-proportional

Multiple Select

Which of the following graphs demonstrates a proportional relationship? (Select ALL that apply)

Multiple Select

Which of the following graphs demonstrates a non-proportional relationship? (Select ALL that apply)

Multiple Choice

What makes a graph proportional?

• Straight Line

• The line goes through (0,0)

• Curvy line

• Straight line and passes through (0,0)

Multiple Choice

The graph above shows the price of games in dollars. Is the graph proportional and how do you know?

(Click the graph to enlarge the picture.)

• The graph is proportional because it is a straight line.

• The graph is proportional because it is a straight line that passes through the origin.

• The graph is not proportional because it does not pass through the origin.

• The graph is not proportional because it is not a straight line and it does not pass through the origin.

Multiple Choice

The following graph is not proportional, why is that?

(Click the graph to enlarge the image.)

• We don't know what number it starts at.

• It does not pass through the origin.

• But it IS proportional!

Multiple Choice

Is this graph proportional?

• Yes

• No

Multiple Choice

Which graph is proportional?

• A

• B

• C and D

• All of the graphs are proportional

Multiple Choice

Which graph is non-proportional?

• A

• B

• C

• D

Multiple Choice

Does this graph show a proportional relationship

• yes

• no

Multiple Choice

Does this graph show a proportional relationship

• yes

• no